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Decimal to Binary Conversion Worksheet

Convert decimal numbers to binary and understand the underlying principles of number systems.

Grade 11 Math Number SenseDecimal to Binary Conversion
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA-APR.D.6CCSS.MATH.CONTENT.HSA-SSE.A.1.A
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Decimal to Binary Conversion

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Read each question carefully and convert the given decimal numbers to their binary equivalents. Show your work for full credit.

1. The base of the decimal number system is  , while the base of the binary number system is  .

2. In binary, a '1' represents an 'on' state and a '0' represents an ' ' state.

3. To convert a decimal number to binary, you repeatedly divide the decimal number by   and record the  .

4. Convert the decimal number 25 to binary. Show your steps.

5. Convert the decimal number 58 to binary. Show your steps.

6. Which of the following is the binary equivalent of the decimal number 13?

a

1011

b

1101

c

1001

d

1110

7. What is the decimal number corresponding to the binary number 10101?

a

19

b

21

c

23

d

25

8. The binary number 1100 is equivalent to the decimal number 12.

T

True

F

False

9. To convert a fractional decimal number to binary, you multiply the fractional part by 2 and take the integer part as the binary digit.

T

True

F

False

10. Explain why the binary system is fundamental to computer science and digital technology.